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We provide a geometric interpretation to Bayesian inference that allows us to introduce a natural measure of the level of agreement between priors, likelihoods, and posteriors.
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Asymptotic Statistics
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Mathematical Statistics
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Applied Analysis
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Anaya-Izquierdo, K. and Marriott, P. (2007) · 2007
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“A geometric view of conjugate priors.”
Agarawal, A. and Daumé, III, H. (2010) · 2010
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Kyung, M., Gill, J., Ghosh, M. and Casella, G. (2010) · 2010
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Bayesian Ideas and Data Analysis
Christensen, R., Johnson, W. O., Branscum, A. J. and Hanson, T. E. (2011) · 2011
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Evans, M. and Jang, G. H. (2011) · 2011
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Lopes, H. F. and Tobias, J. L. (2011) · 2011
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Roos, M. and Held, L. (2011) · 2011
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Raftery, A. E., Newton, M. A., Satagopan, J. M. and Krivitsky, P. N. (2007) · 2007
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“A weakly informative default prior distribution for logistic and other regression models.”
Gelman, A., Jakulin, A., Pittau, M. G. and Su, Y. S. (2008) · 2008
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“A simple adaptive estimator of the integrated square of a density.”
Giné, E. and Nickl, R. (2008) · 2008
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Elements of Statistical Learning
Hastie, T., Tibshirani, R. and Friedman, J. (2008) · 2008
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“The Bayesian lasso.”
Park, T. and Casella, G. (2008) · 2008
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A First Course in Bayesian Statistical Methods
Hoff, P. (2009) · 2009
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“A graphical diagnostic for identifying influential model choices in Bayesian hierarchical models.”
Scheel, I., Green, P. J. and Rougier, J. C. (2011) · 2011
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“Bayesian influence analysis: A geometric approach.”
Zhu, H., Ibrahim, J. G. and Tang, N. (2011) · 2011
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“Bayesian sensitivity analysis with the Fisher–Rao metric.”
Kurtek, S. and Bharath, K. (2015) · 2015
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“Sensitivity analysis for Bayesian hierarchical models.”
Roos, M., Martins T. G., Held, L. and Rue, H. (2015) · 2015
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“Optimal robustness results for relative belief inferences and the relationship to prior–data conflict.”
Al Labadi, L. and Evans, M. (2016) · 2016
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Amari, S.-i. (2016)
2016
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“The maximum likelihood prior.”
Hartigan, J. A. (1998) · 2083
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